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Finding the Fourth Proportional to 76,193.27, 114,300.59 and 31,809.92

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Solution

The fourth proportional to 76,193.27, 114,300.59 and 31,809.92 is: 47,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193.27 : 114,300.59 = 31,809.92 : x
  2. Step 2: Convert to fraction form
    76,193.27/114,300.59 = 31,809.92/x
  3. Step 3: Cross multiply
    76,193.27x = 114,300.59 × 31,809.92
  4. Step 4: Simplify right side
    76,193.27x = 3,635,892,750.55
  5. Step 5: Solve for x
    x = 3,635,892,750.55/76,193.27
  6. Step 6: Final answer
    x = 47,719.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.